If the diameter of a circle is increased by 6 cm, what is the increase in the circumference of the circle?

Answers

Answer 1

Answer:

The circumference will be larger by 3 cm.

Step-by-step explanation:

We know that the circumference of a circle is C = 2πr, where r is the radius. The circumference can also be expressed as C = 2π [tex]\frac{d}{2}[/tex], where d is the diameter (since the radius is half the diameter).

So, if we increase the diameter by 6:

C = 2π [tex]\frac{(d+6)}{2}[/tex]

C = 2π [tex]\frac{d}{2}+\frac{6}{2}[/tex]

C = 2π [tex]\frac{d}{2}[/tex] + 3

If we compare this to the original equation, C = 2π [tex]\frac{d}{2}[/tex], we see that if we increase the diameter by 6 cm, the circumference will be larger by 3 cm.


Related Questions


Classify the triangle: a triangle with one right angle and no congruent sides.

Enter your answer

Answers

Answer:

Scalene Traingle

Step-by-step explanation:

Because a scalene triangle has no congruent sides, but can be a right angle (90 degree)!

What the guy above me said is true

Write an equation of a like that passes through the points (9,5) and (6,7)

Answers

Answer:

y=-2/3x+11

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-5)/(6-9)

m=2/-3

m=-2/3

y-y1=m(x-x1)

y-5=-2/3(x-9)

y=-2/3x+18/3+5

y=-2/3x+6+5

y=-2/3x+11

Sandy has a 10% discount off the total price before tax is added for Larry's Lunch Place. It
the cost of the meal is $18.50,
1. What is the cost of the meal after the discount? (WE DID THIS IN CLASS-copy from
classwork)

Answers

16.65 (explanation) i used a calculator. hope this helps you!

Points Y and Z are points of tangency. Find the value of a.

Answers

Answer:

a = 2

Step-by-step explanation:

If Y and Z are points of tangency, then |XY| = |XZ|.

We have

[tex]|XY|=9a^2-30\\|XZ|=3a[/tex]

Domain

[tex]a>0[/tex]

Substitute

[tex]9a^2-30=3a\qquad|\text{subtract}\ 3a\ \text{from both sides}\\\\9a^2-3a-30=0\qquad|\text{divide both sides by 3}\\\\3a^2-a-10=0\\\\3a^2-6a+5a-10=0\\\\3a(a-2)+5(a-2)=0\\\\(a-2)(3a+5)=0\iff a-2=0\ \vee\ 3a+5=0\\\\a-2=0\qquad|\text{add 2 to both sides}\\a=2\\\\3a+5=0\qquad|\text{subtract 5 from both sides}\\3a=-5\qquad|\text{divide both sides by 3}\\a=-\dfrac{5}{3}<0[/tex]

1. What is (6^1/2 x3/4 simplified?

Answers

Answer:

1/ 6

Step-by-step explanation:

2/3 (3m-2) -3/4 (8m-2)

Answers

Answer:-4m+1/6

Step-by-step explanation:2/3(3m-2)-3/8(8m-2)

distribute

=(2/3(3m)+(2/3)(-2)+-6+3/2

=2m+-4/3+-6m+3/2

combine like terms:

=2m+-4/3+-6m+3/2

=(2m+-6m)+(-4/3+3/2)

=-4m+1/6

The function ()=63⋅(1.03)
c
(
x
)
=
63

(
1.03
)
x
models the cost in dollars,
c
, of 1 ounce of a certain chemical used in a laboratory.
x
represents the number of years since 1990.



How much does an ounce of the chemical cost in 2005? (Do NOT type the $ with your answer.)

Answers

Answer:

2%

Step-by-step explanation:

i took the test bud and got it right

Pleaseee help I really dont get it​

Answers

Answer:

1/2

Step-by-step explanation:

find the slope (1,1) and (2,3) do change in y over change in x then simplify

Answer:

2

Step-by-step explanation:

Find 2 easy-to-read points. Points that easy to read are on the intersection of grid lines.

For example, choose (1, 1) and (2, 3).

slope = rise/run

rise = difference in y

run = difference in x

Start at point (1, 1). To go to point (2, 3), first you go up 2 units. The difference in y is 2, so the rise is 2. Then you go 1 unit to the right. The difference in x is 1, so the run is 1.

slope = rise/run = 2/1 = 2

Answer: slope = 2

Which equation is equivalent to
1/5x-3=2/3

A 5X-45=3

B 3x - 15=10

C 3x-45 = 10

D X-15 = 10

Answers

Answer:

c) 3x - 45 = 10

Step-by-step explanation:

[tex]\frac{1}{5}x-3=\frac{2}{3}\\\\\frac{1}{5}x-\frac{3*5}{1*5}=\frac{2}{3}\\\\\frac{x-15}{5}=\frac{2}{3}\\[/tex]

Cross multiply,

3*(x - 15) = 2*5

3*x - 3*15 = 10

3x - 45 = 10

what is 4300x300 if you dont know it just try

Answers

Answer:

1,290,000

Step-by-step explanation:

hecker skills

What Percent of 60m is 9m?​

Answers

The answer is 15%

Nope this helped :)
The percent of 60m and 9m is 15%

The triangles are congruent by




1. AAS


2. ASA


3. SSS

Answers

Answer:

the triangles are congruent by ASA.

how do you find the area of a right triangle if you only have the base

Answers

Step-by-step explanation:

You can find the area of a right triangle the same as you would any other triangle by using the following formula:

A = (1/2)bh, where A is the area of the triangle, b is the length of the base and h is the height of the triangle; However, with a right triangle, it's much more convenient in finding its area if we utilize the lengths of the two legs (the two sides that are shorter than the longest side, the hypotenuse and that are perpendicular to each other and thus form the right angle of the right triangle), that is, since the two legs of a right triangle are perpendicular to each other, when we treat one leg as the base, then, consequently, we can automatically treat the length of the other leg as the height, and if we initially know the lengths of both legs, then we can then just plug this information directly into the area formula for a triangle to find the area A of the right triangle.

For example: Find the area of a right triangle whose legs have lengths of 3 in. and 4 in.

Make the 4 in. leg the base. Since the two legs of a right triangle are perpendicular to each other, then the length of the other leg is automatically the height of the triangle; therefore, plugging this information into the formula for the area of a triangle, we have:

A = (1/2)bh

= (1/2)(4 in.)(3 in.)

= (1/2)(12 in.²)

A = 6 in.² (note: in.² means square inches)

(C) Write an equation for the amount, a, that Maria makes as a function of the number of hours, h, that she
tutors. Keep in mind that Maria will make $0 for tutoring for 0 hours.

Answers

Answer:

yes

Step-by-step explanation:

yes

If the diameter of a circular pool is 15 ft, then what is the radius of the pool?
answer choices :
30 ft
15 ft
7.5 ft
5 ft

Answers

7.5 because the radius is half the diameter

Please help me solve this !!!!!!!!!

Answers

Answer:

p = 16x² + 38y

Step-by-step explanation:

x + 10y + x + 10y + 8x² - x + 9y + 8x² - x + 9y

Simplify:

16x² + 38y

good luck, i hope this helps :)

63° 55°
X =
degrees.

Answers

Answer:

Step-by-step explanation:

The sum of these angles must equal 360 degrees.

x+63+55=360

x+118=360

x=242

Please help me im very confused

Answers

Answer:

6,-3

Step-by-step explanation:

Answer:

(6,-3)

Step-by-step explanation:

I don't know how to explain it you got it right tho

I need help quick plssss I’ll give brainliest

Answers

Answer:

64

Step-by-step explanation:

20. A ticket printer made 450 tickets in 9 minutes. Another ticket printer made tickets for 5
minutes at twice the rate of the first printer.
How many tickets did the second ticket printer make?
A. 4050
B. 1250
C. 810
D.500

Answers

The answer is D 500.

PLEASE HURRY I WILL MARK BRANLIEST

Answers

Answer:

Option c

Step-by-step explanation:

-2x-10=-2(x+5)

Answer:

second is the answer okkkkkkkkkkkkkkkk

Please Help give me an A

Answers

What are your answers? And btw kinda cute

Solve the equation: 13 + c = 232. What is the value of c?

Answers

Answer:

219

Step-by-step explanation:

Just take 232 minus 13, you get 219

Answer:

219

Step-by-step explanation:

13+c=232

subtract 13 from each side

c=219

hope this helps :)

how would i do both of these, show work pls

Answers

Answer:

-12.5%

-14.29%

Step-by-step explanation:

For #2:

Original price is $2.00, that price decreased by $0.25 is $1.75. First figure out what $0.25 out of $2.00 is as a percent:

0.25/2.00 = 0.125 = 12.5%

Then, since the price DECREASED by $0.25, the percent would be negative.

For #4:

Original price is $3.50, that price decreased by $0.50 is $3.00. Like #2, you need to figure out what $0.50 out of $3.50 is as a percent:

0.50/3.50 = 0.1429 = 14.29%

Then, since the price DECREASED by $0.50, the percent would be negative.

How do I work this out?

Answers

Answer:

2×2×2×2×2×2 = 64

Raise 2 to the power of 6.

64

Step-by-step explanation:

Hope it is helpful....

PLS HELP ASAP I ONLY GOT 15 MIN LEFTTT

Answers

Answer: b

Step-by-step explanation:

help me with this pleas w

Answers

Answer: 8

Step-by-step explanation:

4x8= 32

32x8= 256

256x8= 2048

Solve the simultaneous equations
2x + 5y = 16
- 2x + 3y = 8

Answers

Answer:

2x+y= -2, x + 2y = 2

x+y=3 , 2x-8y = 19

6x^2+3y^2=12 , x +y = 2

help
pls
(lots of points)

Answers

Answer:

Step-by-step explanation:

b is the independent variable.

m is dependent on b.

If 100 boxes are sold, the money collected is 30·100 = $3,000.

They collected $1530.

$1530 × (1 box)/($30) = 51 boxes sold

Lance is an enthusiastic cyclist.

He uses an app on his phone to track each of his cycling sessions.

Below is shown some information about his last three.


In Lance’s last three cycling sessions.

(i) What was the shortest distance cycled?


(ii) What was the longest time that he cycled for?


(iii) Work out Lance’s cycling time.

Answers

Answer:

17.25 ; 1:01:13 ; 4 hours 47 minutes, 38 seconds

Step-by-step explanation:

From the picture attached :

The shortest distance cycled :

17.25 < 25.80 < 27.42

Hence, shortest distance cycled is : 17.25

Shortest cycling time :

1:01:13 < 1:50:05 < 1:56:20

Hence, shortest distance cycled is : 1:01:13

Total cycling time:

1:01:13 + 1:50:05 + 1:56:20

1 + 1 + 1 = 3 hrs

01 + 50 + 56 = 107 = 107/60 = 1 hr 47 minutes

13 + 05 + 20 = 38 seconds

Total cycling time :

(3 + 1 hr 47 minutes + 38 seconds) = 4 hours 47 minutes, 38 seconds

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